Simplify/Condense 3 natural log of 3+ natural log of 9

$3 \ln (3) + \ln (9)$

Step 1

Simplify each term.

Simplify $3 \ln (3)$ by moving $3$ inside the logarithm.

$\ln (3^{3}) + \ln (9)$

Raise $3$ to the power of $3$ .

$\ln (27) + \ln (9)$

Step 2

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (27 \cdot 9)$

Step 3

Multiply $27$ by $9$ .

$\ln (243)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\ln (243)$

Decimal Form:

$5.49306144 \dots$